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Beliebt Rechnen >

integral from-1 to 2 of (x^3-2x)

Lösung

\int_{- 1}^{2} (x^{3} - 2 x) d x

Lösung

\frac{3}{4}

+1

Dezimale

0.75

Schritte zur Lösung

\int_{- 1}^{2} x^{3} - 2 x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{2} x^{3} d x - \int_{- 1}^{2} 2 x d x

\int_{- 1}^{2} x^{3} d x = \frac{15}{4}

\int_{- 1}^{2} 2 x d x = 3

= \frac{15}{4} - 3

Vereinfache

\frac{15}{4} - 3 : \frac{3}{4}

= \frac{3}{4}

Graph

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